Non-linear stationary parabolic boundary value problems in an infinite cylinder
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
Similarity:
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
Similarity:
Wolf von Wahl (1983)
Annales Polonici Mathematici
Similarity:
P. Besala (1983)
Annales Polonici Mathematici
Similarity:
H. Ugowski (1971)
Annales Polonici Mathematici
Similarity:
P. Besala (1963)
Colloquium Mathematicae
Similarity:
J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
Similarity:
P. Besala (1975)
Annales Polonici Mathematici
Similarity:
Pao-Liu Chow (2015)
Banach Center Publications
Similarity:
The paper is concerned with the problem of existence of explosive solutions for a class of nonlinear parabolic Itô equations. Under some sufficient conditions on the initial state and the coefficients, it is proven by the method of auxiliary functionals that there exist explosive solutions with positive probability. The main results are presented in Theorems 3.1 and 3.2 under different sets of conditions. An example is given to illustrate some application of the second theorem. ...
Ahmed Aberqi, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
Similarity:
We prove the existence of a renormalized solution to a class of doubly nonlinear parabolic systems.
H. Ugowski (1972)
Annales Polonici Mathematici
Similarity:
Changchun Liu, Jinyong Guo (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.
Piotr Biler (2006)
Banach Center Publications
Similarity:
This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.
Cung The Anh, Phan Quoc Hung (2008)
Annales Polonici Mathematici
Similarity:
We study the global existence and long-time behavior of solutions for a class of semilinear degenerate parabolic equations in an arbitrary domain.
Ferit Gurbuz (2016)
Open Mathematics
Similarity:
In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...
Piotr Biler, Lorenzo Brandolese (2009)
Studia Mathematica
Similarity:
We establish new results on convergence, in strong topologies, of solutions of the parabolic-parabolic Keller-Segel system in the plane to the corresponding solutions of the parabolic-elliptic model, as a physical parameter goes to zero. Our main tools are suitable space-time estimates, implying the global existence of slowly decaying (in general, nonintegrable) solutions for these models, under a natural smallness assumption.
Changchun Liu (2013)
Annales Polonici Mathematici
Similarity:
We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.
Kleber Carrapatoso (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
Similarity:
I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].
A. Voigt (1979)
Numerische Mathematik
Similarity: